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Finding the Fourth Proportional to 10,737.26, 14,821.26 and 8,092.20

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Solution

The fourth proportional to 10,737.26, 14,821.26 and 8,092.20 is: 11,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.26 : 14,821.26 = 8,092.20 : x
  2. Step 2: Convert to fraction form
    10,737.26/14,821.26 = 8,092.20/x
  3. Step 3: Cross multiply
    10,737.26x = 14,821.26 × 8,092.20
  4. Step 4: Simplify right side
    10,737.26x = 119,936,600.17
  5. Step 5: Solve for x
    x = 119,936,600.17/10,737.26
  6. Step 6: Final answer
    x = 11,170.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.